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Finding the Third Proportional to 326,850 and 706,219

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Solution

The third proportional to 326,850 and 706,219 is: 1,525,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,850 : 706,219 = 706,219 : x
  2. Step 2: Convert to fraction form
    326,850/706,219 = 706,219/x
  3. Step 3: Cross multiply
    326,850x = 706,219 × 706,219
  4. Step 4: Simplify right side
    326,850x = 498,745,275,961
  5. Step 5: Solve for x
    x = 498,745,275,961/326,850
  6. Step 6: Final answer
    x = 1,525,914.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.